Refer to Class 11 Mathematics Complex Numbers and Quadratic Equation MCQs provided below. CBSE Class 11 Mathematics MCQ questions with answers are available for download in Pdf. The MCQ Questions for Class 11 Mathematics with answers are aligned as per the latest syllabus and exam pattern suggested in Class 11 by CBSE, NCERT and KVS. Multiple Choice Questions for Chapter 5 Complex Numbers and Quadratic Equations are an important part of exams for Class 11 Mathematics and if practiced properly can help you to improve your understanding of Chapter 5 Complex Numbers and Quadratic Equations and get higher marks. Refer to more Chapter-wise MCQs for CBSE Class 11 Mathematics and also download more latest study material for all subjects

## MCQ for Class 11 Mathematics Chapter 5 Complex Numbers and Quadratic Equations

Class 11 Mathematics students should refer to the following multiple-choice questions with answers for Chapter 5 Complex Numbers and Quadratic Equations in Class 11.

### Chapter 5 Complex Numbers and Quadratic Equations MCQ Questions Class 11 Mathematics with Answers

**Question. If (1-i / 1+i)100 = a + ib then**

(a) a = 2, b = – 1

(b) a = 1, b = 0

(c) a = 0, b = 1

(d) a = – 1, b = 2

**Answer : B**

**Question. The equation | z + 1 – i| = | z – 1 + i| represents a**

(a) straight line

(b) circle

(c) parabola

(d) hyperbola

**Answer : A**

**Question. The modulus of √2i - - √2i is:**

(a) 2

(b) √2

(c) 0

(d) 2√2

**Answer : A****Question. Number of solutions of the equation z2 + |z|2 = 0 is**

(a) 1

(b) 2

(c) 3

(d) infinitely many

**Answer : D**

**Question. 1 + i2 + i4 + i6 + ... + i2n is**

(a) positive

(b) negative

(c) 0

(d) cannot be determined

**Answer : D**

**Question. If f (z) = z ^{4} + 9z^{3} + 35z^{2} – z + 4, then the value of f (– 5 + 2 - √4 ) is:**

(a) – 160

(b) 160

(c) 610

(d) 106

**Answer : A**

**Question. If z = 2 – 3i, then the value of z ^{2} – 4z + 13 is**

(a) 1

(b) –1

(c) 0

(d) None of these

**Answer : C****Question. If x = 1 + i, then the value of the expression x ^{4} –4x^{3} + 7x^{2} – 6x + 3 is :**

(a) – 1

(b) 1

(c) 2

(d) none of these

**Answer : B**

**Question. If c + i/c-i = a + ib, where a, b, c are real, then a ^{2} + b^{2} is equal to:**

(a) 7

(b) 1

(c) c^{2}

(d) – c^{2}

**Answer : B**

**Question. The least value of a such that the sum of the squares of the roots of the equation x ^{2} – (a – 2)x – (a + 1) = 0 is**

(a) a = – 1

(b) a = 1

(c) a = 0

(d) a = 2

**Answer : B****Question. If a ¹ b but a ^{2} = 5a – 3 and b^{2} = 5b – 3 then the equation having a/b and b/a as its roots is**

(a) 3x

^{2}– 19x + 3 = 0

(b) 3x

^{2}+ 19x – 3 = 0

(c) 3x

^{2}– 19x – 3 = 0

(d) x

^{2}– 5x + 3 = 0

**Answer : A**

**Question. If x + iy = /3cos i sin 2 q + q + then 4x – x ^{2} – y^{2} reduces to :**

(a) 2

(b) 3

(c) 4

(d) 5

**Answer : B**

**Question. If (x + iy) (2 – 3i) = 4 + i, then**

(a) x = – 14/13, y = 5/13

(b) x = 5/13, y = 14/13

(c) x = 14/13, y = 5/13

(d) x = 5/13, y = – 14/13

**Answer : B**

**Question. If | z – 4 | < | z – 2 |, its solution is given by**

(a) Re(z) > 0

(b) Re(z) < 0

(c) Re(z) > 3

(d) Re(z) > 2

**Answer : C****Question. If | z + 4 | £ 3, then the maximum value of**

| z + 1 | is

(a) 6

(b) 0

(c) 4

(d) 10

**Answer : A**

**Question. The conjugate of a complex number is 1 /i –1 then that complex number is**

(a) –1/i –1

(b) 1 /i +1

(c) –1/i +1

(d) 1/i –1

**Answer : C**

**Question. If the conjugate of (x + iy) (1 – 2i) is 1 + i, then:**

(a) y = 3/5

(b) x - iy = 1 - i /1 + 2i

(c) x + iy = 1 - i /1 - 2i

(d) x = 1/5

**Answer : C**

**Question. arg z + arg z; z ¹ 0 is equal to :**

(a) π/4

(b) π

(c) 0

(d) π/2

**Answer : C**

**Question. For z = 3 - i , the principal value of arg (z) is**

(a) –p/6

(b) –p/3

(c) –p/2

(d) –p/4

**Answer : A**

**Question. If z1 = √3 + i √3 and z2 = √3 + i , then in which ****quadrant (z1/z2) lies?**

(a) I

(b) II

(c) III

(d) IV

**Answer : A**

**Question. If z1 and z2 are two non-zero complex numbers such that | z1 + z2 | = | z1 | + | z2 | , then arg z1 – arg z2 is equal to**

(a) π/2

(b) – π

(c) 0

(d) -π/2

**Answer : C**

**Question. If z = x + iy satisfies amp (z – 1) = amp (z + 3i) then the value of (x – 1) : y is equal to**

(a) 2 : 1

(b) 1 : 3

(c) – 1 : 3

(d) none of these

**Answer : B**

**Question. If (1+i / 1-i)x - 1 then**

(a) x = 2n +1 , where n is any positive integer

(b) x = 4n , where n is any positive integer

(c) x = 2n , where n is any positive integer

(d) x = 4n +1 , where n is any positive integer

**Answer : B**

**Question. If a + ib > c + id, then :**

(a) a > c, b > d

(b) a > c, b ³ d

(c) a > c, b = d = 0

(d) none of these

**Answer : C**

**Question. The system of equations | z + 1 – i | = 2 and | z | = 3 has**

(a) no solution

(b) one solution

(c) two solutions

(d) none of these

**Answer : A**

**Question. The square root of 3 + 4i is :**

(a) ±{2 – i}

(b) ±{–2 + i}

(c) ±{2 + i}

(d) none of these

**Answer : C**

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